On quadratic points of classical modular curves

DOI10.1090/conm/701/14146zbMath1440.11103arXiv1308.3267OpenAlexW2962989020MaRDI QIDQ4635400

Francesc Bars Cortina

Publication date: 16 April 2018

Published in: Number Theory Related to Modular Curves (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.3267

zbMATH Keywords

hyperelliptic curvesbielliptic curvesquadratic pointsclassical modular curves

Mathematics Subject Classification ID

Rational points (14G05) Arithmetic ground fields for curves (14H25) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Arithmetic aspects of modular and Shimura varieties (11G18) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Algebraic theory of abelian varieties (14K05)

Related Items (13)

Bielliptic quotient modular curves of 𝑋₀(𝑁) ⋮ Weierstrass points of modular curves at cusps ⋮ On quadratic progression sequences on smooth plane curves ⋮ Bielliptic modular curves \(X_0^\ast(N)\) ⋮ Bielliptic modular curves \(X_0^+(N)\) ⋮ COMPUTING POINTS ON BIELLIPTIC MODULAR CURVES OVER FIXED QUADRATIC FIELDS ⋮ Modular curves with infinitely many cubic points ⋮ Bielliptic modular curves $X_0^*(N)$ with square-free levels ⋮ ON REPRESENTATION OF GREEN’S FUNCTION OF THE DIRICHLET PROBLEM FOR BIHARMONIC EQUATION IN A BALL ⋮ Bielliptic intermediate modular curves ⋮ Bielliptic smooth plane curves and quadratic points ⋮ Bielliptic quotient modular curves with \(N\) square-free ⋮ Infinitely many cubic points for $X_0^+(N)$ over $\mathbb Q$

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